Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
International Journal for Multiscale Computational Engineering
Fator do impacto: 1.016 FI de cinco anos: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Imprimir: 1543-1649
ISSN On-line: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v5.i6.40
pages 473-482

Asymptotic and Numerical Modeling of a Flow in a Thin Channel with Viscoelastic Wall

Gregory P. Panasenko
Equipe d'Analise Numerique UMR CNRS 5585, University Gean Monnet 23 rue. P. Michelon 42023 St. Etienne, France
Y. Sirakov
Laboratory of Rheology for Plastic Materials of the University of Saint-Etienne (UMR CNRS 5156), University Jean Monnet, 42023 Saint-Etienne, France
R. Stavre
Institute of Mathematics "Simion Stoilow", Romanian Academy, P.O. Box 1-764 RO-70700 Bucharest, Romania

RESUMO

This article deals with a theoretical and numerical study of a fluid-structure interaction problem. We consider the nonstationary flow of a viscous fluid in a thin rectangle with an elastic wall as the upper part of the boundary. The physical problem that corresponds to nonhomogeneous boundary conditions is stated. By using a boundary layer method, an asymptotic solution is constructed. The properties of the boundary layer functions are established, and an error estimate is obtained. The asymptotic expansions are justified both by the error estimates and by the numerical simulations.


Articles with similar content:

A General Analytical Approach for Simulation of Pollutant Dispersion in the Atmospheric Boundary Layer
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2012, issue
D. Buske, Marco T. Vilhena, R. S. Quadros, Tiziano Tirabassi
NEW DEVELOPMENTS IN FREQUENCY DOMAIN OPTICAL TOMOGRAPHY. PART I. FORWARD MODEL AND GRADIENT COMPUTATION
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2010, issue
Olivier F. Balima, Daniel Marceau, Joan Boulanger, Andre Charette
On Construction of Finite-Dimensional Mathematical Model of Convection−Diffusion Process with Usage of the Petrov−Galerkin Method
Journal of Automation and Information Sciences, Vol.42, 2010, issue 6
Sergey V. Siryk, Nikolay N. Salnikov, Igor A. Tereshchenko
The Thin Dielectric Coating of the Smooth Metallic Cylinder High-frequency Excitation by the E-polarized Field of the Point Source
Telecommunications and Radio Engineering, Vol.54, 2000, issue 5-6
Victor Filippovich Apel'tsin
SOLUTIONS AND TYPE CURVES OF A FLUID FLOW MODEL FOR NATURALLY FRACTURED RESERVOIRS WITH INFLUX RECHARGE
Journal of Porous Media, Vol.23, 2020, issue 10
Jorge Adrián Perera-Burgos, M. A. Taneco-Hernández, Alfredo González-Calderón, Luis Xavier Vivas-Cruz